Atkin-Lehner |
2+ 5- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360h |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-970880000 = -1 · 210 · 54 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -3 3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,-1372] |
[a1,a2,a3,a4,a6] |
Generators |
[16:70:1] |
Generators of the group modulo torsion |
j |
185073116/948125 |
j-invariant |
L |
8.2849086178032 |
L(r)(E,1)/r! |
Ω |
0.78703811949077 |
Real period |
R |
1.3158366152437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60680b1 |
Quadratic twists by: -4 |